MATH SOLVE

6 months ago

Q:
# Pls HelpFind the measure of angle x in the figure below:Two triangles are shown such that one triangle is inverted and share a common vertex. The lower triangle has two angles at the base marked as 75 degrees each. The angle at the vertex of the inverted triangle at the top is marked as x degrees. 15° 25° 30° 60°

Accepted Solution

A:

First solve the triangle:

75° + 75° + x = 180°

150° + x = 180°

x = 180° - 150°

Therefore x = 30°

Then, use the geometrical property of vertically opposite angles.

Therefore. x° = 30°

75° + 75° + x = 180°

150° + x = 180°

x = 180° - 150°

Therefore x = 30°

Then, use the geometrical property of vertically opposite angles.

Therefore. x° = 30°